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Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds

Binz, Tim (2024)
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds.
In: Semigroup Forum, 2021, 103 (1)
doi: 10.26083/tuprints-00023471
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds
Language: English
Date: 30 April 2024
Place of Publication: Darmstadt
Year of primary publication: 2021
Place of primary publication: New York
Publisher: Springer
Journal or Publication Title: Semigroup Forum
Volume of the journal: 103
Issue Number: 1
DOI: 10.26083/tuprints-00023471
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on the space C(∂M) of continuous functions on the boundary ∂M of a compact manifold M with boundary. We prove that it generates an analytic semigroup of angle π/2, generalizing and improving a result of Escher with a new proof. Combined with the abstract theory of operators with Wentzell boundary conditions developed by Engel and the author, this yields that the corresponding strictly elliptic operator with Wentzell boundary conditions generates a compact and analytic semigroups of angle π/2 on the space C(M).
Uncontrolled Keywords: Dirichlet-to-Neumann operator, Wentzell boundary conditions, Analytic semigroup, Riemmanian manifolds
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-234718
Additional Information:

Mathematics Subject Classification: 47D06 · 34G10 · 47E05 · 47F05
Classification DDC: 500 Science and mathematics > 510 Mathematics
Divisions: 04 Department of Mathematics > Analysis
Date Deposited: 30 Apr 2024 12:33
Last Modified: 30 Apr 2024 12:33
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23471
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